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Superconductivity of NbSe3
A. Briggs, P. Monceau, M. Nunez-Regueiro, M. Ribault, J. Richard
To cite this version:
A. Briggs, P. Monceau, M. Nunez-Regueiro, M. Ribault, J. Richard. Superconductivity of NbSe3.
Journal de Physique, 1981, 42 (10), pp.1453-1459. �10.1051/jphys:0198100420100145300�. �jpa-
00209337�
Superconductivity of NbSe3
A. Briggs, P. Monceau, M. Nunez-Regueiro, M. Ribault (*) and J. Richard
Centre de Recherches sur les Très Basses Températures, C.N.R.S., B.P. 166 X, 38042 Grenoble Cedex, France
(Reçu le 6 février 1981, révisé le 18 mai, accepté le 10 juin 1981)
Résumé.
2014Nous avons mesuré les transitions résistives supraconductrices de NbSe3 sous champ magnétique
pour des pressions supérieures à celles nécessaires à la suppression de l’onde de densité de charge qui apparaît
à 59 K à pression ambiante. NbSe3 est alors un supraconducteur massif anisotrope avec un effet Meissner total.
Les anisotropies des champs magnétiques critiques sont bien décrites par un modèle de masses effectives qui sont
en bon accord avec celles déduites des mesures de conductivité ou des mesures d’oscillations Shubnikov-de Haas.
A pression ambiante, nous avons mesuré des transitions avec résistivité nulle pour des échantillons de NbSe3 compactés mais sans effet Meissner total. Cette supraconductivité n’est pas massive et est due vraisemblablement
aux barrières entre les domaines formant le cristal.
Abstract.
2014We report measurements of the resistive superconducting transitions of NbSe3 as a function of
magnetic field for sufficient pressures to destroy the lower CDW. These indicate that NbSe3 is a bulk anisotropic superconductor with a total Meissner effect. The critical field anisotropies are well described by an effective mass
model and the values obtained are in good agreement with those obtained by conductivity or Shubnikov-de Haas measurements. At ambient pressure we have measured zero-resistivity transitions for compacted samples, but do
not find a total Meissner effect. Hence this superconductivity is not a bulk effect but is probably associated with barriers between domains in the sample.
Classification
Physics Abstracts
62.50
-74.10
-74.60
Introduction.
-Among the family of metal-transi- tion trichalcogenides intensively studied these last years, only TaSe3 and NbSe3 [1] remain metallic at
helium temperature [2, 3]. TaSe3 has a superconducting
transition at 2.2 K [4]. NbSe3 undergoes two inde- pendent charge-density wave transitions with asso-
ciated lattice distortions at 145 K (Tl) and
59 K (T2) [2, 5]. Two other resistive anomalies have been observed : the resistivity drops between 2.2 K
and 1.5 K and it is constant down to 0.4 K where it decreases again. But down to 7 mK no zero-resistivity
has been measured. Magnetization measurements indicate that a very small part of the NbSe3 sample
becomes diamagnetic below 2.2 K where the resistivity drops [3]. A filamentary model of superconductivity
has been proposed to explain this low temperature behaviour [6]. Under pressure the CDW transition temperatures decrease. It has been shown that
dT 2/dP = - 6.25 K/kbar [7]. For this pressure and above NbSe3 is a bulk superconductor with a complete
Meissner effect. Zero-resistivity has been measured
on doped NbSe3 samples with impurities of tanta-
lum [8], titanium [9] or zirconium [10], for tempe- (*) Permanent address : Laboratoire de Physique des Solides, Université Paris-Sud, Bât. 510, 91405 Orsay, France.
LE
JOURNAL DE PHYSIQUE
-T. 42, N° 10, OCTOBRE 1981
ratures around 1.5 K but no magnetization on these doped samples have yet been reported. We have
observed that a zero-resistivity transition occurs in
compacted pure NbSe3 samples. The critical tempe-
rature is around 0.9 K.
Hereafter we first review the resistive and magnetic
measurements on pure NbSe3 filaments. Then we
describe the experiments on compacted NbSe3 samples
with different size grains. Finally we report measure-
ments on some NbSe3 monocrystals under pressure.
We have determined the critical magnetic fields parallel and perpendicular to the chain direction.
NbSe3 under pressure is an anisotropic super- conductor which near Tc can be described with an
effective mass model. The effective masses deduced from the critical magnetic fields for the different
crystallographic orientations are in good agreement with those obtained by conductivity and Shubnikov- de Haas measurements.
1. Pure NbSe3.
-The drop in resistivity below
2.2 K is sample dependent [3]. This drop can be a
few percent of the resistivity above 2.5 K but we have
measured 80 % on a bundle of filaments. Fleming
does not observe such a drop on very pure samples
with resistance ratios of 200 [11]. Below 2.2 K the
94
Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphys:0198100420100145300
1454
resistivity is strongly dependent on the current density
and the critical current decreases exponentially with
temperature. The transition can be suppressed with
current densities higher than 1 A/cm2. Previous
d.c. initial susceptibility measurements on a NbSe3 sample of 300 mg at 50 mK in a magnetic field of
1 Oe indicated that less than 10- 3 of the volume could be superconducting [3]. More accurate magne- tization measurements using SQUID magnetometers have been recently reported [12]. On NbSe3 samples loosely assembled Buhrman et al. show that a small
diamagnetic contribution appears around 2 K where the resistivity drops and that at the lowest temperature (a few tens of mK) the diamagnetic signal is 1 % of
-
V/4 n in agreement with the limit of our previous
measurements. They described a model where indi- vidual planes become superconducting around 2 K.
At lower temperature the coupling between planes
would increase leading to a 2D-3D superconducting
transition.
The temperature dependence of the superconducting
critical current and the absence of a total Meissner effect exclude a bulk superconductivity and we proposed a filamentary model for the superconducting
transition at 2.2 K [6]. However NbSe3 is very different
morphologically from, for instance (SN)x. This poly-
mer is an assembly of fibers of around 100 A diameter which dominate the superconducting properties [13].
Very recently Fung and Steeds [14] have observed
that the CDW lattice consisted of elongated domains
with a typical size of 2 g x 200 A x 200 A for a pure
NbSe3 sample. Taking into account this observation
we have assumed that the CDW order parameter is
zero inside the borders between two domains in which the phase of the CDW is constant [15]. At low temperature these borders become superconducting
which lead to a multiconnexç superconductivity.
This assumption can account for the sample dependent
behaviour because of the different repartition of
domains in different samples.
2. Compacted NbSe3.
-In compounds like NbSe3
where the easy path for electrons is along the chains,
the effect of impurities consists of breaking chains ; consequently the transport properties are principally
due to these interrupted strands. The resistivity
measurements between 300 K and 4.2 K that we have made on samples doped with titanium, zirconium,
tantalum or after electron irradiation [16] show a strong increase of the resistivity at low temperature.
The same behaviour has been observed with proton irradiation [9]. Another method of « dirtying » the samples is to use powders with different grain sizes.
We have crushed NbSe3 filaments to obtain powder.
This powder was passed through several sieves with
grain size less than 100 g (sample F6) and with grain
size between 43 03BC and 60 g (sample F8). The compac- tion of the powder was done under an hydraulic press at 100 bars at room temperature. The sample dimen-
sions are typically 10 x 1.5 x 1 mm3. The d.c. resis- tance is measured by a classical four lead contacts.
The current density is typically 2 x 10- 2 A/cm2. The
insert of figure 1 shows the resistivity variation bet-
ween 300 K and 4.2 K [17]. The resistivity variation
can be separated in two parts : a semiconducting-like
variation all the more important as the grain size is
smaller and the resistivity variation of the pure NbSe3.
The resistivities at 4.2 K normalized to the room tem-
perature resistivity are respectively 2.07 for F6 and
3.54 for F8. It can be seen that anomalies due to the two CDWs at 145 K and 59 K remain which ensures
that, although no X-rays determination have been
performed on the powder, we measure the real NbSe3 phase.
Fig. 1.
-Low temperature resistance of compacted powder of NbSe3. The grain size of sample F6 is less than 100 Il and for sample
F8 between 40 u and 63 Il. In the insert, the resistance variation normalized to room temperature as a function of temperature for F6, F8 and a monocrystal of NbSe3.
Around 2 K the resistivity saturates. We have measured the resistivity of F6 and F8 in a 3He refri- gerator. The resistivity variation is shown in figure 1.
The resistivity drops to zero for the two samples. If
we define the critical temperature at the middle of the
transition, Te is 0.8 K for F6 and 0.9 K for F8. Initial
susceptibility measurements made on F6 show a small
diamagnetism of the order of 6 % down to 200 mK
and increase of this diamagnetism around 100 mK up to 25 % of the total diamagnetism.
In figure 2 we show the variation of the resistivity
of F6 as a function of magnetic field at different tem-
peratures. Due to the random orientation of each
Fig. 2.
-Variation of the resistance of F6 normalized to its room
temperature resistance as a function of magnetic field at different temperatures. In the insert the normalized resistance at 21 kG
as a function of temperature. The resistance increases monotonically
when the superconducting state is suppressed by the magnetic field.
grain and the anisotropy of the crystal, the critical
fields are not very well defined. But at sufficiently high magnetic fields it can be seen that the magneto- resistance follows the same variation which is the normal state one. We can obtain the resistivity in a
fixed magnetic field (21 kG) where the sample is in
the normal state (except for the two lowest tempera-
tures where the values are obtained by extrapolation).
The insert of figure 2 indicates that when the super-
conducting state is suppressed (by the magnetic field)
the normal resistivity increases monotonically below
2 K.
Our compacted samples are pure NbSe3 but disor-
dered in the sense that many barriers have been intro- duced. Although the two CDWs are présent, a zero-
resistivity is observed below 0.9 K without a complete
Meissner effect. To ascertain that zero-resistivity was
not a surface property of the compacted sample we
cut F6 longitudinally in three parts and we remeasured separately these three parts. No difference in behaviour from the original specimen was observed.
Zero resistivity has also been measured on doped NbSe3 samples. The resistivity below 2.5 K is current dependent for samples doped with 0.1 % of titanium [9]
and with zirconium [10] although the effect of current is less important than for pure NbSe3 [3]. A super- conductivity transition was reported for a NbSe3
with 5 % of tantalum at 1.5 K [8]. It was stated that the superconductivity arose because the lower CDW
was smeared out as similar to the pressure effect. If this is true, as in the case of pressure, a complete
Meissner effect must be observed. However no magne- tization measurements have yet been performed on doped samples.
Lee and Rice [18] have calculated that the size of the domains where the phase of the CDW is constant decreases with the amount of impurities. So in the
doped samples as in our compacted samples we expect that there is a great number of normal barriers around CDW domains and therefore a superconduct- ing percolation path at low temperature leading to
a zero-resistance. However there is not a total Meissner effect.
3. NbSe3 under pressure.
-We have measured the
resistivity of two single crystals of NbSe3 under pres-
sure below 4.2 K. The typical dimensions were
5 x 0.02 x 0.005 mm. Precession photographs taken
with filtered MoK radiation ensured that the crystals
were single crystals with the plane (b, c) in the plane
of the ribbon. The crystals were mounted on an araldic
disc in a beryllium-copper chester clamp capable of retaining pressures up to 11 kbar at 300 K resulting
in about 7.5 kbar at 4.2 K. Pressures were measured at room temperature and nitrogen temperature with
a pressure cycled manganin resistance placed near
the specimen using the calibration data of Itske- vich [19]. For a fixed room temperature pressure, the
manganin gauge gave a reproducible nitrogen tem- perature resistance. The fluid used was an isopentane- methyl 2-pentane mixture. The samples were those
used for Shubnikov-de Haas oscillations measure- ments that we reported previously [7]. For such
measurements only two probes on the crystals were
necessary which excluded absolute d.c. resistance measurements.
NbSe3 becomes superconducting when the lower CDW transition is totally suppressed by pressure. In the insert of figure 3 we show the pressure dependence
of the CDW transition T2 and the resistive super-
conducting transition. Above 5.5 kbar, NbSe3 is
superconducting with a sharp transition and Tc
decreases when the pressure is increased. In the critical pressure range where T2 varies sharply with pressure,
T, decreases rapidly and a superconducting transition
cannot be detected below 5 kbar. The continuous variation of the resistance for pressures in this range could be due to pressure inhomogeneities. More hydrostatic measurements with helium gas are under- way to study this possible coexistence between super-
conductivity and CDW state.
Figure 3 shows the resistive transitions for pressures of 5.5 kbar and 7.2 kbar. At 7.2 kbar, NbSe3 undergoes
a very sharp superconducting transition at 3.4 K with
a width of 0.1 K. The residual resistance of 4 Q is the contact resistance because of the two probes
measurement which varies between 3.2-4 Q for the different pressures. At 5.5 kbar there is a break in the resistance variation at 3.5 K followed by a continuous
decrease of the resistance down to 1.5 K. But if we
extrapolate the variation of the magnetic critical
fields at H
=0 as we report below, we find a critical temperature of 3.5 ± 0.1 K. Unfortunately because of
the two contacts measurements we were unable to measure at ambient pressure the drop in resistivity
at 2.2 K.
1456
Fig. 3.
-Resistive transitions of a monocrystal of NbSe3 for
pressures of 5.5 and 7.2 kbar. The measurements were made with two probes and the residual 3-4 Q is the contact resistance. In the insert the variation of the lower CDW transition and the super-
conducting transition as a function of pressure. When the CDW is suppressed NbSe3 becomes a bulk superconductor.
Fig. 4.
-Magnetization of a NbSe3 sample formed with many fibers at 5.4 kbar and 1.37 K.
We have previously reported initial susceptibility
measurements of a specimen consisting of many fibers
(specimen C weight of 0.56 g in reference [7]) under
pressure. The specimen showed a complete Meissner
effect above 5 kbar at 2.5 K. The difference between the superconducting critical temperatures obtained by
resistive and magnetic measurements is not well understood and we are trying to clarify this point.
Figure 4 shows the magnetization of sample C at
1.37 K for a pressure of 5.4 kbar. This magnetization
variation is typical of a superconductor with strong flux trapping.
For magnetic measurements we need to know the
angular orientations. The sample has the chains
parallel to b and its large face is parallel to (b, c).
For the transverse orientation (H 1 b) we define the
azimutal angle 9 between H and c : 9
=0 corresponds
to H parallel to c and ç
=n/2 at H parallel at a*
(which is different from a for the monoclinic structure).
The polar angle 0 is defined in the plane (a*, b) and
0=0 corresponds to H//b. The resistive transitions in magnetic fields were performed in two different configurations : firstly with 0
=n/2 and 9
=0 at 7.7 kbar, for one sample only, in the course of our
Shubnikov-de Haas oscillations measurements [7] and secondly at 5.5 and 7.4 kbar with the pressure cell inserted in an electromagnet capable of rotating between 0=0 and 0
=n/2 with 9
=n/2, for the two samples. We have drawn in figure 5 typical resistive
transitions as a function of magnetic field at the
pressures of 5.5 and 7.4 kbar for the orientations ç = n/2, 0=0 and 9
=n/2, 0
=n/2. In figure 6 we
have drawn the temperature variation of the critical fields for the three orientations investigated for the
same sample. The extrapolation of H 1. (0
=n/2, ç
=0)
at 7.7 kbar gives T,
=3.25 K compared to Tc
=3.4 K
at 7.4 kbar and 3.5 K at 5.5 kbar. This result confirms the decrease of the critical temperature for pressures
greater than those necessary for suppressing the lower
Fig. 5.
-Resistive transitions of a monocrystal of NbSe3 for
pressures of 5.5 and 7.4 kbar as a function of magnetic field. The orientation of the magnetic field with the crystallographic axis are
shown on the insert. ç is the azimutal angle with H in the plane perpendicular to the chain or b axis, 0 is the polar angle with H rotating in the plane (a, b). The resistive transitions correspond
to 9
=n/2, 0
=n/2 (H 1 b) and ç
=n/2, 0
=0 (H//b).
Fig. 6.
-Variation of the critical magnetic fields as a function of the temperature for three different orientations. At 7.7 kbar for 0 = n/2, w
=0. At 5.5 and 7.2 kbar for (p
=n/2, 0
=n/2 and for
cp
=n/2, 0=0.
-